Question

1. If x-a is a factor of x^3-a^2x + x + 2, then find the value of a​

Answer 1

Answer:

Step-by-step explanation:

I consider the function,

F(x)=   x3−a2x+x+2  

Given x-a is a factor of F.

Now we divide F with x-a

Then we get  x2+ax+1  as product and  a+2 as remainder.

Since x-a is a factor of F, F must be divisible by x-a. This will happen if the remainder is zero

i.e if a+2=0

I.e if  a=−2

Answer 2

Step-by-step explanation:

a= -2.................